The result we would get when we simplify 5x/(x + 1) - (x - 4)/(x + 1), is 4.
How to Simplify an Expression?
Given the following expression:
5x/(x + 1) - (x - 4)/(x + 1), the first step to take is to find the common denominator.
The common denominator of the given expression is: (x + 1). Therefore, the expression would be simplified as shown below:
[1(5x) - 1(x - 4)] / (x + 1)
Evaluate the numerator
(5x - x + 4) / (x + 1)
Combine like terms in the numerator
(4x + 4) / (x + 1)
4(x + 1) / (x + 1)
Divide the numerator and denominator by (x + 1)
= 4
Therefore, the result we would get after simplifying the expression, 5x/(x + 1) - (x - 4)/(x + 1), is 4.
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